Atkin-Lehner |
2- 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270bh |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-217620000 = -1 · 25 · 33 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 2 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62,749] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-29:1] |
Generators of the group modulo torsion |
j |
-961504803/8060000 |
j-invariant |
L |
7.7831134786509 |
L(r)(E,1)/r! |
Ω |
1.5184101230995 |
Real period |
R |
0.12814577168986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36270b1 |
Quadratic twists by: -3 |